T-Distribution Hypothesis Test Testing: Ho: µ = 48.3 H1:µ < 48.3 Your sample consists of 22 subjects, with a mean of 48 and standard deviation of 1.58. Calculate the test statistic, rounded to 2 decimal places.
T-Distribution Hypothesis Test Testing: Ho: µ = 48.3 H1:µ < 48.3 Your sample consists of 22 subjects, with a mean of 48 and standard deviation of 1.58. Calculate the test statistic, rounded to 2 decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![# T-Distribution Hypothesis Test
**Testing:**
- \( H_0: \mu = 48.3 \)
- \( H_1: \mu < 48.3 \)
**Sample Information:**
- Number of subjects: 22
- Sample mean: 48
- Standard deviation: 1.58
**Instructions:**
Calculate the test statistic, rounded to 2 decimal places.
\[ t = \] ________
---
This exercise involves determining whether the sample mean of a given set of data is statistically significantly less than the hypothesized population mean using a t-distribution. It requires calculating the t-statistic based on provided sample data (mean, standard deviation, and sample size).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b06cc1a-670c-4da3-86c8-aa55d4f56c06%2F68e1a884-2cf0-4ec8-a5ab-2cba2310c481%2Fx4h85la_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# T-Distribution Hypothesis Test
**Testing:**
- \( H_0: \mu = 48.3 \)
- \( H_1: \mu < 48.3 \)
**Sample Information:**
- Number of subjects: 22
- Sample mean: 48
- Standard deviation: 1.58
**Instructions:**
Calculate the test statistic, rounded to 2 decimal places.
\[ t = \] ________
---
This exercise involves determining whether the sample mean of a given set of data is statistically significantly less than the hypothesized population mean using a t-distribution. It requires calculating the t-statistic based on provided sample data (mean, standard deviation, and sample size).
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